Ball weight and string tension

Does anyone have any input on how you should string if you play with a heavier, then normal, ball? As a heavier ball tends to go longer my logic tells me to string harder but does anyone have any insight on how a heavier ball behaves in the string bed upon impact?

More inertial would certainly deflect the strings more, making you think the ball goes farther.
But in reality, when playing with heavier balls, the balls play slower and shorter than superlight balls.
Racket mass and flex have a say in the matter, as does your arms and body build.